The quantum dynamics of this model is governed by a Hamiltonian \(\hat{H}\) , which is obtained
by promoting the classical Hamiltonian (REF ) to an operator.
We will analyze the dynamics by using a formalism based on a moment decomposition of the wave
function [1]}. More precisely, we define the quantum moments as
\(\Delta (\beta ^ip^j):=\Big \langle (\hat{\beta }-\langle \hat{\beta }\rangle )^i(\hat{p}-\langle \hat{p}\rangle )^j\Big \rangle _{\text{Weyl}},\) 
